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Finding the Fourth Proportional to 400,713,707,548.01, 601,070,561,322 and 400,713,707,548.01

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Solution

The fourth proportional to 400,713,707,548.01, 601,070,561,322 and 400,713,707,548.01 is: 601,070,561,322

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,713,707,548.01 : 601,070,561,322 = 400,713,707,548.01 : x
  2. Step 2: Convert to fraction form
    400,713,707,548.01/601,070,561,322 = 400,713,707,548.01/x
  3. Step 3: Cross multiply
    400,713,707,548.01x = 601,070,561,322 × 400,713,707,548.01
  4. Step 4: Simplify right side
    400,713,707,548.01x = 240,857,213,125,302,132,146,176
  5. Step 5: Solve for x
    x = 240,857,213,125,302,132,146,176/400,713,707,548.01
  6. Step 6: Final answer
    x = 601,070,561,322

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.